Title :
Hilbert transform relations for products
Author_Institution :
Polytechnic of Central London, London, England
fDate :
5/1/1973 12:00:00 AM
Abstract :
A general formula for the Hilbert transform of a product of complex-valued functions is developed. Certain simplifications are then exhibited for products often encountered in the context of modulation and signal processing. The approach chosen is one of frequency partitioning; this permits signal definition on complementary sections of the frequency axis and leads to compact and easily manipulated expressions.
Keywords :
Baseband; Fourier transforms; Frequency; Labeling; Narrowband; Signal analysis; Signal processing;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1973.9125
